34531013504 has 64 divisors (see below), whose sum is σ = 74295098640. Its totient is φ = 15891972096.

The previous prime is 34531013483. The next prime is 34531013507. The reversal of 34531013504 is 40531013543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34531013504² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34531013507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557999 + ... + 616785.

Almost surely, 2^34531013504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34531013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37147549320).

34531013504 is an abundant number, since it is smaller than the sum of its proper divisors (39764085136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34531013504 is a wasteful number, since it uses less digits than its factorization.

34531013504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59167 (or 59155 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 34531013504 in words is "thirty-four billion, five hundred thirty-one million, thirteen thousand, five hundred four".